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Application of second-order equation
1。 A rectangular glass should be surrounded by a frame equal to its circumference to make a mirror. The length-width ratio of the mirror is 3: 1. Known glass price per square meter 100 yuan, frame price per meter 20 yuan, processing fee 55 yuan. It took 2 10 to make this mirror, and the length and width of the mirror were found.

The width of the mirror is x meters, the length of the mirror is 3x meters, and the circumference of the mirror is 8x meters = the length of the frame.

100 * x * 3x+20 * 8x+55 = 2 10

300x^2+ 160x- 155=0

60x^2+32x-3 1=0

(2x- 1)(30x+3 1)=0

X=0.5,x=-3 1/30 (s)。

That is, the length is 0.5*3= 1.5 and the width is 0.5.

2。 Every employee of a company sends a blessing message to other employees of the company during the holiday season, and the whole company sends a message of 1 190 to ask about the number of employees of the company.

Let the number of people be X.

x(x- 1)= 1 190

x^2-x- 1 190=0

(x-35)(x+34)=0

X=35,x=-34 (s)

A: ....

3。 The annual output value of the enterprise increased from 6.5438+million yuan to 654.38+03310,000 yuan at a constant growth rate for three years. What is the annual growth rate?

Let the growth rate be x.

1000( 1+x)^2= 133 1

x=0. 1= 10%

A: ...